Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offers a fascinating overview of these topics that is accessible to a broad range of readers. Beginning with a historical development of each topic, the book guides readers through the essential properties of the Fibonacci numbers, offering many introductory-level examples. The author explains the relationship of the Fibonacci numbers to compositions and palindromes, tilings, graph theory, and the Lucas numbers. The book proceeds to explore the Catalan numbers, with the author drawing from their history to provide a solid foundation of the underlying properties. The relationship of the Catalan numbers to various concepts is then presented in examples dealing with partial orders, total orders, topological sorting, graph theory, rooted-ordered binary trees, pattern avoidance, and the Narayana numbers. The book features various aids and insights that allow readers to develop a complete understanding of the presented topics, including: Real-world examples that demonstrate the application of the Fibonacci and the Catalan numbers to such fields as sports, botany, chemistry, physics, and computer science More than 300 exercises that enable readers to explore many of the presented examples in greater depth Illustrations that clarify and simplify the concepts Fibonacci and Catalan Numbers is an excellent book for courses on discrete mathematics, combinatorics, and number theory, especially at the undergraduate level. Undergraduates will find the book to be an excellent source for independent study, as well as a source of topics for research. Further, a great deal of the material can also be used for enrichment in high school courses.
A full-color reference for getting the most out of your Samsung Galaxy Tab 10.1! A vast improvement over the original Galaxy Tab, the 10.1 uses the latest version of the Android operating system and is a 4G LTE mobile device. These upgrades—along with many others, including the better screen quality, better web browsing with Flash, and better multitasking capabilities—are all covered in this fun and friendly guide to the Samsung Galaxy Tab 10.1. Everything from how-to topics to the most useful features to helpful tricks and techniques, this practical guide shows you how to get the most out of this cutting-edge device. Details how the Galaxy Tab 10.1 goes one step further than the iPad with phone communications plus video chat and conferencing Explains in detail how to find your way around the Galaxy Tab 10.1 Covers e-mailing, web browsing, using the digital library, connecting with friends in the galaxy, taking photos with the camera, and enjoying music Highlights how to customize your Galaxy Tab 10.1 so that it's right for your needs Samsung Galaxy Tab 10.1 For Dummies is must-have reading for anyone who wants to go beyond the basics and explore another galaxy of tablet computing!